Free ACT Maths Test Practice Questions with Answers sample 1

Sixty Maths questions, with answers and detailed solutions, similar
to the questions in the ACT maths test. The answers are at the bottom of the page.

4 x 10-5 =
A) - 40,000
B) - 200
C) 0.0004
D) 0.00004
E) 0.20

Which of the following is equivalent to (x)(x)(x)(x3), for all x?
A) 4x
B) 6x
C) x6
D) 4x6
E) 4x4

There are 15 balls in a box: 8 balls are green, 4 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?
A) 3/13
B) 4/15
C) 3/15
D) 4/13
E) 2/13

The length of a rectangle is 3 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?
A) 15
B) 20
C) 30
D) 75
E) 40

Which of the statements describes the solution set for -2(x + 8) = -2x + 20?
A) x = - 2 only
B) x = 0 only
C) x = 20 only
D) There are no solution for this equation.
E) All real numbers are solutions of this equation.

The area of a trapezoid is 0.5 h (b1 + b2), where h is the altitude, and b1 and b2 are the lengths of the parallel bases. If a trapezoid has an altitude of 15 inches, an area of 105 square inches, and one of the bases 22 inches, what is the perimeter, in inches, of the trapezoid?
A) 8
B) 45
C) 60
D) 30
E) This trapezoid does not exist.

If you drove at average speed of 66 miles per hour, what distance, in miles, did you drive in 99 minutes?
A) 1.5
B) 0.7
C) 65.34
D) 108.9
E) 150

Among the following, which is the best possible graphical representation of y = -2/|x - 3|

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What is the slope of the line

4x = -3y + 8

A) 4
B) -3/4
C) -4/3
D) 2
E) 8

In the figure below, B is on AD, ∠ BAC and ∠ ACB measure 26° and 131° respectively. What is the measure of ∠CBD?

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A) 26°
B) 157°
C) 23°
D) 154°
E) 49°

Which of the following is equal to √45
A) 15
B) 5√3
C) 9√5
D) 3√5
E) 3

What is the smallest value of x that satisfies the equation

x(x + 4) = -3

A) -1
B) 0
C) 1
D) 3
E) -3

A group of 7 friends are having lunch together. Each person eats at least 3/4 of a pizza. What is the smallest number of whole pizzas needed for lunch?
A) 7
B) 5
C) 6
D) 28
E) 21

All axes in the graphs below have the same scales. Which one of the graphs shows the graph of y = -2x + 2?

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The measures of angles A, B and C of a triangle are in the ratio 3:4:5. What is the measure, in degrees, of the largest angle?
A) 75°
B) 15°
C) 12°
D) 90°
E) 60°

There are n students in a school. If r% among the students are 12 years or younger, which of the following expressions represents the number of students who are older than 12?
A) nr/100
B) n(1 - r)
C) 100(1 - r)n
D) n(1 - r) / 100
E) n(100 - r) / 100

A company makes a profit equal to 25% of its sales. The profit is shared equally among the 4 owners of the company. If the company generates sales of $5,000,000, how much money does each one of the owners get?
A) 12,500
B) 312,500
C) 500,000
D) 1,250,000
E) 12,500,000